what is the value of electric field due to current carrying wire outside the wire?
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The magnetic field exerts a force on a current-carrying wire in a direction given by the right hand rule 1 (the same direction as that on the individual moving charges). This force can easily be large enough to move the wire, since typical currents consist of very large numbers of moving charges.
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Electric field inside a current carrying conductor is zero as the charges inside it distributes themselves on the surface of the conductor. The net charge in the current carrying wire is zero. Thus the assertion is true while the reason is wrong
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